Class 10
Solutions of Sample Papers for Class 10 Boards

Question 1 (Choice 2) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

Find the values of k for which the quadratic equation 3x 2 =  kx + 3 = 0 has real and equal roots.

This question is similar to Ex 4.4, 2 (i) Chapter 4 Class 10 - Quadratic Equations

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Transcript

Question 1 – Choice 2 Find the values of k for which the quadratic equation 3𝑥2 + 𝑘𝑥 + 3 = 0 has real and equal roots. Given 3𝑥2 + 𝑘𝑥 + 3 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = 𝑘, c = 3 Since the equation has 2 equal roots, D = 0 b2 – 4ac = 0 Putting values 𝑘^2−4 × 3 × 3=0 𝑘^2−36=0 𝑘^2=36 𝑘 = ±√36 𝒌 = ±𝟔 Hence, 𝒌 = 𝟔 or 𝒌 = −𝟔

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.